Construction of rank-one solvable rigid Lie algebras with nilradicals of a decreasing nilpotence index
It is shown that for any integers ≥2 , ≥2 and ≥++2 , there exists a real solvable Lie algebra of the first rank with a maximal torus of derivations possessing the eigenvalue spectrum spec()=(1,2,⋯,,,+1⋯,), a nilradical of the nilpotence index − and a characteristic sequence (−,1). .
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/87605 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/87605 |
| Access Level: | acceso abierto |
| Palavra-chave: | 512.554.3 Lie algebras Jacobi scheme Solvability Rigid Cohomology Álgebra 1201.10 Álgebra Lineal |
| Resumo: | It is shown that for any integers ≥2 , ≥2 and ≥++2 , there exists a real solvable Lie algebra of the first rank with a maximal torus of derivations possessing the eigenvalue spectrum spec()=(1,2,⋯,,,+1⋯,), a nilradical of the nilpotence index − and a characteristic sequence (−,1). . |
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